Eccentric millisecond pulsar + subdwarf B star from rotationally delayed accretion-induced-collapse scenario

Neutron star + helium star systems are attracting more and more attentions. Following the rotationally delayed accretion-induced-collapse (RD-AIC) scenario, I predict that there could be eccentric millisecond pulsar + subdwarf B (MSP + sdB), at least eccentric neutron star + subdwarf B (NS + sdB) systems in the Galaxy. I show the predictions on their orbital parameters, including MSP mass, secondary mass, eccentricity and orbital period. Based on two detailed binary population synthesis calculations, we find that their Galactic birth rate is $(0.67-1.5)\times10^{\rm -4}~{\rm yr^{\rm -1}}$. Then, a very conservative upper limit of their number in the Galaxy is 6700-15000. They have an age of hundreds of Myr and then should be discovered in relatively young environments. In addition, most of the MSPs in the eccentric MSP + sdB systems have a mass less massive than 1.5 $M_{\odot}$. I simply discuss their future potential applications in astrophysical fields.